Suppose $x$ is a normally distributed random variable with $\mu = 8.6$ and $\sigma = 2.7$. Find each of the following probabilities:

(a) $P(6.3 \leq x \leq 16.2 ) =$

(b) $P(11.7 \leq x \leq 15.1 ) =$

(c) $P(6.5 \leq x \leq 15.9 ) =$

(d) $P(x \geq 7.9 ) =$

(e) $P(x \leq 15.4 ) =$